pub fn dp_rec_mc(amount: u32) -> u32 {
  let coins = [100, 50, 30, 20, 10, 5, 2, 1];

  let mut dp = vec![u32::MAX; (amount + 1) as usize];
  dp[0] = 0;

  for i in 1..=amount as usize {
    for &coin in &coins {
      if i >= coin as usize {
        dp[i] = dp[i].min(dp[i - coin as usize] + 1);
      }
    }
  }

  dp[amount as usize]
}
